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Finding the Fourth Proportional to 2,642.91, 3,964.82 and 888.08

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Solution

The fourth proportional to 2,642.91, 3,964.82 and 888.08 is: 1,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.91 : 3,964.82 = 888.08 : x
  2. Step 2: Convert to fraction form
    2,642.91/3,964.82 = 888.08/x
  3. Step 3: Cross multiply
    2,642.91x = 3,964.82 × 888.08
  4. Step 4: Simplify right side
    2,642.91x = 3,521,075.13
  5. Step 5: Solve for x
    x = 3,521,075.13/2,642.91
  6. Step 6: Final answer
    x = 1,332.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.